We construct the fundamental matrix of solutions of the Cauchy problem and a problem with pulse action for systems with Bessel–Kolmogorov operators degenerate in all space variables. Estimates for the fundamental matrix are obtained, and its properties are established.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 7, pp. 945–953, July, 2012.
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Konarovs’ka, M.I. Problem with pulse action for systems with Bessel–Kolmogorov operators. Ukr Math J 64, 1078–1089 (2012). https://doi.org/10.1007/s11253-012-0700-7
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DOI: https://doi.org/10.1007/s11253-012-0700-7